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11690466452 = 227219792503
BaseRepresentation
bin10101110001100111…
…00101110010010100
31010011201200020010222
422320303211302110
5142420224411302
65212011133512
7562462216400
oct127063456224
933151606128
1011690466452
114a59a66525
122323144298
131143ca9592
147cc886100
154864cbda2
hex2b8ce5c94

11690466452 has 108 divisors (see below), whose sum is σ = 25422556320. Its totient is φ = 4677105888.

The previous prime is 11690466401. The next prime is 11690466499. The reversal of 11690466452 is 25466409611.

11690466452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23241233 + ... + 23241735.

It is an arithmetic number, because the mean of its divisors is an integer number (235394040).

Almost surely, 211690466452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11690466452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12711278160).

11690466452 is an abundant number, since it is smaller than the sum of its proper divisors (13732089868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11690466452 is a wasteful number, since it uses less digits than its factorization.

11690466452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 11690466452 in words is "eleven billion, six hundred ninety million, four hundred sixty-six thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 38 49 76 79 98 133 158 196 266 316 503 532 553 931 1006 1106 1501 1862 2012 2212 3002 3521 3724 3871 6004 6241 7042 7742 9557 10507 12482 14084 15484 19114 21014 24647 24964 38228 39737 42028 43687 49294 66899 73549 79474 87374 98588 118579 133798 147098 158948 174748 237158 267596 278159 294196 305809 468293 474316 556318 611618 755003 830053 936586 1112636 1223236 1510006 1660106 1873172 1947113 3020012 3139223 3320212 3894226 5285021 5810371 6278446 7788452 10570042 11620742 12556892 21140084 21974561 23241484 36995147 43949122 59645237 73990294 87898244 119290474 147980588 153821927 238580948 307643854 417516659 615287708 835033318 1670066636 2922616613 5845233226 11690466452